Open Access. Powered by Scholars. Published by Universities.®
- Institution
- Keyword
-
- Action potential (2)
- Ion pump (2)
- Mathematics (2)
- 00A65 Mathematics and Music (1)
- 34C15 Nonlinear oscillations coupled oscillators (1)
-
- 92B25 Biological rhythms and synchronization (1)
- 93-02 Research exposition (monographs survey articles) (1)
- 93C10 Nonlinear systems (1)
- 93C25 Systems in abstract spaces (1)
- Adaptive Boundary Selection (1)
- Anti-mathematics (1)
- Applied Mathematics (1)
- Bayesian Hyperparameter Optimization (1)
- Bifurcation (1)
- Biodiversity (1)
- Biophysics (1)
- CDT-1D CNN (1)
- Carbon nanotube (1)
- Cardiac arrhythmia (1)
- Chaotic dynamical systems (1)
- Chemostat-population model (1)
- Circuit models of neurons (1)
- Competitive species (1)
- Computational Neuroscience (1)
- Computational population biology (1)
- Computational tools (1)
- Conjugate embedding (1)
- Constrained motion (1)
- Control (1)
- Data Analysis (1)
- Publication Year
- Publication
-
- Annual Symposium on Biomathematics and Ecology Education and Research (6)
- Department of Mathematics: Faculty Publications (5)
- Doctoral Dissertations and Master's Theses (2)
- HMC Senior Theses (2)
- Theses and Dissertations (2)
-
- All Dissertations (1)
- All HMC Faculty Publications and Research (1)
- Biology and Medicine Through Mathematics Conference (1)
- Branch Mathematics and Statistics Faculty and Staff Publications (1)
- Dartmouth College Ph.D Dissertations (1)
- Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works (1)
- Department of Mathematics Faculty Scholarship and Creative Works (1)
- Department of Mathematics: Dissertations, Theses, and Student Research (1)
- Honors Theses (1)
- Journal of Nonprofit Innovation (1)
- Mathematics Theses and Dissertations (1)
- Physics (1)
- Publications and Research (1)
- Statistical Sciences and Operations Research Publications (1)
- Publication Type
Articles 31 - 31 of 31
Full-Text Articles in Non-linear Dynamics
Gravity-Driven Thin Liquid Films With Insoluble Surfactant: Smooth Traveling Waves, Rachel Levy, Michael Shearer, Thomas P. Witelski
Gravity-Driven Thin Liquid Films With Insoluble Surfactant: Smooth Traveling Waves, Rachel Levy, Michael Shearer, Thomas P. Witelski
All HMC Faculty Publications and Research
The flow of a thin layer of fluid down an inclined plane is modified by the presence of insoluble surfactant. For any finite surfactant mass, traveling waves are constructed for a system of lubrication equations describing the evolution of the free-surface fluid height and the surfactant concentration. The one-parameter family of solutions is investigated using perturbation theory with three small parameters: the coefficient of surface tension, the surfactant diffusivity, and the coefficient of the gravity-driven diffusive spreading of the fluid. When all three parameters are zero, the nonlinear PDE system is hyperbolic/degenerateparabolic, and admits traveling wave solutions in which the …